An Inverse K-Theory Functor

Abstract

Thomason showed that the K-theory of symmetric monoidal categories models all connective spectra. This paper describes a new construction of a permutative category from a Gamma-space, which is then used to re-prove Thomason's theorem and a non-completed variant.

Minor corrections. Final version

References in corpus (2)

• Rings, modules, and algebras in infinite loop space theory
• Units of ring spectra and Thom spectra

Cited by in corpus (14)

• Spectra of units for periodic ring spectra and group completion of graded E-infinity spaces
• Global algebraic K-theory
• K-theory for 2-categories
• Stable Postnikov data of Picard 2-categories
• On the Commutative Algebra of Categories
• Non-Simplicial Nerves for Two-Dimensional Categorical Structures
• On the global homotopy theory of symmetric monoidal categories
• Multifunctorial Inverse $K$-Theory
• Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory
• Multicategories Model All Connective Spectra
• The rank filtration via a filtered bar construction
• On Cofibrations of Permutative categories
• Multiplicativity in Mandell's Inverse K-theory
• Modelling Connective Spectra via Multicategories